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4 years ago

Write the two-column proof from start to finish.

Mathematics

2 answers:

Andrei [34K]4 years ago

7 0

Answer:

Step-by-step explanation:

abruzzese [7]4 years ago

3 0

Answer:

Step-by-step explanation:

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An ocean front lot has a perimeter of 250 feet and an area of at least 2500 square feet. Write an inequality describing this sit

evablogger [386]

Answer:

So, the inequality is

$x(125-x)\geq 2500$

Step-by-step explanation:

Since, the shape of ocean front is rectangular

Let's assume length of rectangle is x feet

width of rectangle us y feet

we are given

An ocean front lot has a perimeter of 250 feet

so, we get

$2x+2y=250$

now, we can solve for y

$x+y=125$

$y=125-x$

now, we can find area

$Area=xy$

now, we can plug back y

$Area=x(125-x)$

an area of at least 2500 square feet

so, we get

$x(125-x)\geq 2500$

3 0

3 years ago

It is estimated that light takes 110,000 years to travel the full distance across our galaxy

stepladder [879]

$\bf \stackrel{light~speed}{3.0\times 10^8}ms^{-1}\implies \stackrel{light~speed}{3.0\times 10^8}~\frac{m}{s}\implies 300,000,000~\frac{m}{s}\\\\
-------------------------------\\\\
\textit{how many seconds in a minute?}\qquad 60
\\\\\\
\textit{how many seconds in }\stackrel{1~hr}{60~minutes?}\qquad 60\cdot 60
\\\\\\
\textit{how many seconds in }\stackrel{1~day}{24~hrs}?\qquad 60\cdot 60\cdot 24
\\\\\\
\textit{how many seconds in }\stackrel{1~year}{365~days}?\qquad 60\cdot 60\cdot 24\cdot 365$

now, it takes 1 second for light to travel 300,000,000 meters.

if we know it takes light 1 second to go 300 million meters, then in 365 days or a year, or 60*60*24*365 seconds, it will then travels

300,000,000 * 60 * 60 * 24 * 365 meters in 1 year,

how about in 110,000 years, how many meters has it travelled?

300,000,000 * 60 * 60 * 24 * 365 * 110,000 that many meters.

we know she travels the Milky Way in 110,000 years or 60 * 60 * 24 * 365 * 110,000 seconds

and we know that 110,000 years is 3468960000000 seconds, so

if it travels 300000000 meters in only 1 second, in 3468960000000 seconds, it will travel then (300000000) * (3468960000000) meters

or 1040688000000000000000 meters.

4 0

3 years ago

I need help with this geometry problem!

Gwar [14]

Line a and Line b are parallel.

∠x = 34° (alternative angles on a parallel line are equal)

Answer: ∠x = 34° (option C)

4 0

3 years ago

What is the domain of f?

lana [24]

Answer: C) All real values of x such that $x \le 0$

In other words, x must be 0 or smaller.

===================================================

Explanation:

The reason why is because we must make the stuff under the square root to never be negative. We must make -2x be 0 or larger.

So,

$-2x \ge 0 \\\\-2x+2x \ge 0+2x \ \text{ ... add 2x to both sides}\\\\0 \ge 2x\\\\2x \le 0 \ \text{ ... flip both sides, and the inequality sign}\\\\x \le 0/2 \ \text{ ... divide both sides by 2}\\\\x \le 0$

As an example, if x = -2, then -2x = -2(-2) = 4 is positive. Applying the square root to a positive number is valid.

But if x = 5, then -2x = -2*5 = -10 is under the square root, which is not allowed.

3 0

3 years ago

How much sit-ups can you do in 1 minutes?

galben [10]

I can do like 42, my highest was 54 though

8 0

3 years ago